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10343556006070 = 25719311092301601
BaseRepresentation
bin1001011010000100101111…
…1110110100000010110110
31100121211112012110122100111
42112201023332310002312
52323432100314143240
633555433010333234
72115203650251250
oct226411376640266
940554465418314
1010343556006070
11332874a789351
1211b0797b8a21a
135a0515985091
1427a8b8c18cd0
1512e0d63aa1ea
hex9684bfb40b6

10343556006070 has 128 divisors (see below), whose sum is σ = 23332720435200. Its totient is φ = 3221503488000.

The previous prime is 10343556006059. The next prime is 10343556006071. The reversal of 10343556006070 is 7060065534301.

10343556006070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343556006071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3343270 + ... + 5644870.

It is an arithmetic number, because the mean of its divisors is an integer number (182286878400).

Almost surely, 210343556006070 is an apocalyptic number.

10343556006070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10343556006070 is an abundant number, since it is smaller than the sum of its proper divisors (12989164429130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10343556006070 is a wasteful number, since it uses less digits than its factorization.

10343556006070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301774.

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 10343556006070 in words is "ten trillion, three hundred forty-three billion, five hundred fifty-six million, six thousand, seventy".

Divisors: 1 2 5 7 10 14 19 31 35 38 62 70 95 109 133 155 190 217 218 266 310 434 545 589 665 763 1085 1090 1178 1330 1526 2071 2170 2945 3379 3815 4123 4142 5890 6758 7630 8246 10355 14497 16895 20615 20710 23653 28994 33790 41230 47306 64201 72485 118265 128402 144970 236530 321005 449407 642010 898814 2247035 2301601 4494070 4603202 11508005 16111207 23016010 32222414 43730419 71349631 80556035 87460838 142699262 161112070 218652095 250874509 306112933 356748155 437304190 499447417 501749018 612225866 713496310 998894834 1254372545 1355642989 1530564665 1756121563 2497237085 2508745090 2711285978 3061129330 3512243126 4766615671 4994474170 6778214945 7777109779 8780607815 9489500923 9533231342 13556429890 15554219558 17561215630 18979001846 23833078355 33366309697 38885548895 47447504615 47666156710 54439768453 66732619394 77771097790 94895009230 108879536906 147765085801 166831548485 272198842265 295530171602 333663096970 544397684530 738825429005 1034355600607 1477650858010 2068711201214 5171778003035 10343556006070